Approximation of misclassification probabilities using quadratic classifier for repeated measurements with known covariance matrices
Abstrak
Quadratic discriminant analysis is a well-established supervised classification method, which extends the linear the linear discriminant analysis by relaxing the assumption of equal variances across classes. In this study, quadratic discriminant analysis is used to develop a quadratic classification rule based on repeated measurements. We employ a bilinear regression model to assign new observations to predefined populations and approximate the misclassification probability. Through weighted estimators, we estimate unknown mean parameters and derive moments of the quadratic classifier. We then conduct numerical simulations to compare misclassification probabilities using true and estimated mean parameters, as well as probabilities computed through simulation. Our findings suggest that as the distance between groups widens, the misclassification probability curve decreases, indicating that classifying observations is easier in widely separated groups compared to closely clustered ones.
Penulis (4)
Jean de Dieu Niyigena
I. Ngaruye
J. Nzabanita
M. Singull
Akses Cepat
- Tahun Terbit
- 2024
- Bahasa
- en
- Sumber Database
- Semantic Scholar
- DOI
- 10.3384/lith-mat-r-2024-02
- Akses
- Open Access ✓